Multiply and the then simplify two trig functions

The video tutorial discusses a trigonometric problem involving tangent and secant functions. It explores the use of cofunction and even-odd identities to simplify expressions. The instructor demonstrates how to rewrite trigonometric functions in terms of sine and cosine to identify simplifications, ultimately simplifying the expression to cosecant of Theta.

How can rewriting cotangent and secant in terms of sine and cosine help in simplifying expressions?

What is the final simplified form of the expression involving cotangent and secant, and how was it derived?